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Optimizing Proof-Search via Linearization for G\"odel-L\"ob Logic with Tree-Hypersequents
Announce Type: new Abstract: We answer a question posed by Poggiolesi concerning a syntactic decidability proof for GL in the tree-hypersequent system CSGL, and resolve a challenge identified by Maggesi and Perini Brogi, who sought a PSPACE proof-search algorithm for GL in expressive sequent-based formalisms. We work with a notational variant of CSGL formulated in terms of (labeled) tree sequents. Our answer is complexity-optimal: we present a proof-search algorithm that decides the...
Olfactory learning potentiates long-range cortical GABAergic inputs onto adult-born neurons.
Adult neurogenesis in the olfactory bulb (OB) contributes to structural and functional plasticity, influencing olfactory perception, learning, and memory. Adult-born granule cells (abGCs) exhibit unique morphological, electrophysiological, and synaptic properties compared to their neonatally born counterparts, suggesting a specialized role in olfactory processing. In the OB, such processing relies both on sensory inputs from the olfactory epithelium as well as top-down cortical feedback,...
G\"odel coding on fibrations and geminal categories
Announce Type: cross Abstract: Ramesh's 2023 dissertation introduces the categorical notions of introspective theories and geminal categories, which formalize "self-internalizing" structures sharing the form of L\"ob's theorem ($\Box A \vdash A$ implies $\vdash A$). We reorganize the theory of geminal categories in a self-contained manner by introducing "code structures on fibrations," which serve as a categorical abstraction of G\"odel coding. This framework leads to a significant...
On top of the world together: The Singaporean husband-wife duo who summited Everest
On top of the world together: The Singaporean husband-wife duo who summited Everest Only a few Singaporeans have summited Everest. Last month, Mr Mark Ng and Ms Ng Li Ying joined that select group. SINGAPORE: After reaching the summit of Mount Everest, Singaporean Ng Li Ying took a few moments to take it all in.
Leptin Drives Osteoarthritis Pain Through Sensory Neuron Reprogramming Independent of Cartilage Signaling
Objective: Pain in osteoarthritis (OA) is often discordant with structural joint damage, particularly in obesity-associated OA, where adipose-derived signals may drive nociception independently of cartilage pathology. Leptin has been demonstrated to be necessary, but not sufficient, to drive obesity-associated OA. Here, we tested the hypothesis that leptin mediates OA-associated pain through sensory neuron reprogramming rather than chondrocyte-intrinsic signaling, suggesting a fat-sensory...
Causal Density Functions
Announce Type: cross Abstract: We introduce causal density functions: Radon-Nikodym derivatives that compare interventional laws to observational laws and therefore act as local density ratios for causal effects. Whereas many causal-strength measures compare whole distributions after graph surgery, causal density functions provide a pointwise change-of-measure object that can be estimated, calibrated, and used to score directed influence. The basic identity \[ \mathbb{E}_{\mathrm{do}}[f(Y)]...
Tonight, we’re staying in: Patrick Bruel cancels his summer shows
The 67-year-old actor and singer faces a growing number of rape and assault complaints. Several French mayors had urged him not to perform in their towns, and three Quebec shows scheduled for December were cancelled on 19 May. The discontent of municipalities and of performances disrupted by feminist activists (source in French), not to mention a rising tide of outrage on social media, have finally prevailed.